Distance Magic Graphs - a Survey
نویسندگان
چکیده
Let G = (V,E) be a graph of order n. A bijection f : V → {1, 2, . . . , n} is called a distance magic labeling of G if there exists a positive integer k such that ∑ u∈N(v) f(u) = k for all v ∈ V, where N(v) is the open neighborhood of v. The constant k is called the magic constant of the labeling f . Any graph which admits a distance magic labeling is called a distance magic graph. In this paper we present a survey of existing results on distance magic graphs along with our recent results, open problems and conjectures.
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تاریخ انتشار 2010